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Finding the Fourth Proportional to 13,739.72, 18,965.22 and 8,365.10

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Solution

The fourth proportional to 13,739.72, 18,965.22 and 8,365.10 is: 11,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.72 : 18,965.22 = 8,365.10 : x
  2. Step 2: Convert to fraction form
    13,739.72/18,965.22 = 8,365.10/x
  3. Step 3: Cross multiply
    13,739.72x = 18,965.22 × 8,365.10
  4. Step 4: Simplify right side
    13,739.72x = 158,645,961.82
  5. Step 5: Solve for x
    x = 158,645,961.82/13,739.72
  6. Step 6: Final answer
    x = 11,546.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.